Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426941 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 22 Pages |
Abstract
This paper deals with the numerical resolution of the Navier-Stokes equations defined on a time dependent domain. We give an existence result for a fluid-structure interaction problem in which the boundary is governed by a thin plate operator. We propose to solve the fluid equations with the characteristics method. We approach the total derivative with a “regularized” finite difference scheme and we study the convergence of the discrete problem towards the continuous one.
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Authors
Fabien Flori, Christian Morelli, Pierre Orenga,